Alright, let's work through 7744 times 2978 step by step
7744 × 2978 = 2978 × (7744)
+ 2978 × 4 that is equal 11912
+ 2978 × 40 giving us 119120
+ 2978 × 700 producing 2084600
+ 2978 × 7000 that results in 20846000

= 23061632
